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Finding the Fourth Proportional to 201,096.85, 301,644.99 and 51,337.14

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Solution

The fourth proportional to 201,096.85, 301,644.99 and 51,337.14 is: 77,005.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,096.85 : 301,644.99 = 51,337.14 : x
  2. Step 2: Convert to fraction form
    201,096.85/301,644.99 = 51,337.14/x
  3. Step 3: Cross multiply
    201,096.85x = 301,644.99 × 51,337.14
  4. Step 4: Simplify right side
    201,096.85x = 15,485,591,081.93
  5. Step 5: Solve for x
    x = 15,485,591,081.93/201,096.85
  6. Step 6: Final answer
    x = 77,005.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.